Lie Algebras, Geometry, and Toda-Type Systems (Cambridge Lecture Notes in Physics)

Lie Algebras, Geometry, and Toda-Type Systems (Cambridge Lecture Notes in Physics)

Editorial Reviews
Review
'In all this book is to be recommended to anyone wishing to learn the mathematical machinery that underlies so much of the modern theory of nonlinear integrable systems.' F. Burstall, Contemporary Physics

Book Description
Devoted to an important and popular branch of modern theoretical and mathematical physics, this book introduces the use of Lie algebra and differential geometry methods to study nonlinear integrable systems of Toda type. Many challenging problems in theoretical physics are related to the solution of nonlinear systems of partial differential equations. One of the most fruitful approaches in recent years has resulted from a merging of group algebraic and geometric techniques. The book gives a comprehensive introduction to this exciting branch of science. Chapters 1 and 2 review basic notions of Lie algebras and differential geometry with an emphasis on further applications to integrable nonlinear systems. Chapter 3 contains a derivation of Toda type systems and their general solutions based on Lie algebra and differential geometry methods. The last chapter examines explicit solutions of the corresponding equations. The book is written in an accessible "lecture note" style with many examples and exercises to illustrate key points and to reinforce understanding.

Lie Algebras, Geometry, and Toda-Type Systems (Cambridge Lecture Notes in Physics),Alexander V. Razumov,Mikhail V. Saveliev,Peter Goddard,Julia Yeomans,Cambridge University Press,0521479231,Algebra,Geometry - Differential,Geometry, Differential,Lie algebras,Mathematical Physics,Nonlinear theories,Physics,Science,Science/Mathematics,Science / Mathematical Physics,Theoretical methods

Books Info:

1. Light Scattering from Microstructures : Lectures of the Summer School of Laredo, University of Cantabria, Held at Laredo, Spain, Sept.11-13, 1998 (Lecture Notes in Physics)
2. Low Energy Solar Neutrino Detection: Proceedings of the 2nd International Workshop Held in Tokyo Japan 4 - 5 December 2000
3. Luminescence of Solids
4. Magnetresonanzbildgebung : Theorie und Praxis
5. Materials Characterization for Process Control and Product Confromity: Introduction to Methods for Nondestructive Charac
6. Metallurgical Coatings and Thin Films 1999
7. Microdosimetry and Its Applications
8. Neutron and X-ray Spectroscopy
9. Neutron, X-rays and Light. Scattering Methods Applied to Soft Condensed Matter (North-Holland Delta Series)
10. NMR Imaging of Materials (Monographs on the Physics and Chemistry of Materials)

Books Info

Recommended Books

1. Grammatically Correct: The Writer's Essential Guide to Punctuation, Spelling, Style, Usage and Gramm
2. Brusel
3. Stanley Kubrick
4. Randomized Algorithms
5. Strategic Organizational Change : Building Change Capabilities in Your Organization
6. The Feathered Onion : Creation of Life in the Universe
7. The Blackwell City Reader
8. Quantum-Statistical Models of Hot Dense Matter : Methods for Computation Opacity and Equation of Sta
9. The Faithful Dead
10. Theosophy : An Introduction to the Spiritual Processes in Human Life and in the Cosmos
11. Teddy Bear Treasury a Salute to Teddy: Identification & Values
12. Store Presentation & Design: An International Collection of Design
13. The Faces of Manassas: Rare Photographs of Soldiers Who Fought at Bull Run
14. The New York Times Book of Birds
15. Rick Steves' Best European City Walks and Museums 2005